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Pierce Osborne
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PATHWAY TO ALGEBRA I Hundreds and Tens Tens and Ones Comparing Whole Numbers Adding and Subtracting 10 and 100 Ten More, Ten Less Adding with Tens and Ones Subtracting with Tens and Ones Addition and

Multiply by Multiples of Ten Understand and Use Place Value Round Whole Numbers Add and Subtract Whole Numbers Properties of Multiplication and Division Multiply Whole Numbers Divide Whole Numbers

2 PATHWAY TO ALGEBRA I Hundreds and Tens Tens and Ones Comparing Whole Numbers Adding and Subtracting 10 and 100 Ten More, Ten Less Adding with Tens and Ones Subtracting with Tens and Ones Addition and Subtraction Strategies Place Value with Whole Numbers Place Value and Rounding Addition and Subtraction Concepts Regrouping Concepts Add and Subtract within 1,000 Number and Operations in Base Ten Multiply by Multiples of Ten Understand and Use Place Value Round Whole Numbers Add and Subtract Whole Numbers Properties of Multiplication and Division Multiply Whole Numbers Divide Whole Numbers Decimal Notation Decimals to Hundredths Compare Decimals Fraction and Decimal Equivalents Place Value Multiply and Divide Whole Numbers Operations with Whole Numbers Decimals to Thousandths Add and Subtract Decimals 2

3 Number and Operations in Base Ten (continued) Multiply and Divide Decimals Operations with Decimals Concept of Area Area of Rectangles Perimeter Measurement and Data Area and Perimeter of Rectangles Angles Volume of Rectangular Prisms Line Plots Understanding Addition and Subtraction Relating Addition and Subtraction Equal Groups Addition and Subtraction Fact Strategies Estimate Sums and Differences Concept of Multiplication Properties of Addition and Multiplication Concept of Division Relationship Between Multiplication and Division Operations and ic Thinking Solve Multiplication and Division Equations Multiplication and Division Word Problems Solve Two-Step Word Problems Describe Patterns Interpret Remainders Relate Factors and Multiples I Relate Factors and Multiples II Write and Interpret Simple Expressions Arithmetic Sequences: Closed Form Geometric Sequences: Closed Form Arithmetic Sequences: Recursive Form Geometric Sequences: Recursive Form 3

4 Naming Equal Parts Understand Fractions I Fractions on the Number Line Fractions on the Number Line Equivalent Fractions I Whole Numbers as Fractions Compare Fractions I Equivalent Fractions II Compare Fractions II Decompose Fractions and Mixed Numbers Add and Subtract Fractions with Like Denominators Add and Subtract Mixed Numbers with Like Denominators Number and Operations Fractions Word Problems with Fractions and Mixed Numbers Multiply Fractions by Whole Numbers Multiply Fractions by Whole Numbers Add Fractions with Denominators of 10 or 100 Understand Fractions II Equivalent Fractions III Compare Rational Numbers Add Fractions Subtract Fractions Multiply Fractions Operations with Fractions I Add and Subtract Fractions Multiply and Divide Fractions II Operations with Fractions II 4

5 Classify Quadrilaterals II Classify Triangles Integers in the Coordinate Plane Area of Parallelograms Area of Triangles Area of Trapezoids and Composite Figures Rational Numbers in the Coordinate Plane Distance on the Coordinate Plane Area of Composite Figures Surface Area and Volume of Rectangular Prisms Surface Area of Pyramids Circumference Area of Circles Surface Area of Cylinders Surface Area of Cones Geometry Surface Area of Spheres Surface Area of Composite Solids Angle Pairs Angles in a Polygon Volume of Cylinders Volume of Pyramids and Cones Volume of Spheres Volume of Composite Solids Parallel Lines and Transversals Pythagorean Theorem: Hypotenuse Pythagorean Theorem: Legs Pythagorean Theorem: Mixed Problems Pythagorean Theorem: Distance Formula Translations Reflections Rotations Composition of Transformations 5

6 Greatest Common Factor Least Common Multiple The Number System Integer Concepts Add and Subtract Rational Numbers Multiply and Divide Rational Numbers Operations with Rational Numbers Ratios Find Rates Convert s of Measure Distance, Rate, and Time Percent Concepts Ratio and Proportion Fraction, Decimal, and Percent Equivalents Calculations with Percent Interpret Rates on Graphs Use Proportions to Solve Problems Similar Figures Percent and Percent Change Solve: Simple Interest Measures of Center: Median Measures of Center: Mean Measures of Spread: Range Circle Graphs Bar Graphs and Histograms Statistics and Probability Stem-and-Leaf Plots Box Plots Quartiles Simple Probability Compound Probability Making Predictions 6

7 Evaluate Simple Expressions Exponents I Evaluate Expressions: Two Steps Evaluate Expressions: Distributive Property Identify One-Step Equations Combine Like Terms Solve Two-Step Equations Solve Equations: Distributive Property Literal Formulas Expressions and Equations Common Factors in Polynomials Solve Equations with the Variable on Both Sides Exponents II Square and Cube Roots Scientific Notation Solve a System of Linear Equations Graphically Solve a System of Linear Equations ically Simplify Monomials Language of Concept of Inequalities Factor Expressions Slope Functions Slope-Intercept Form Point-Slope Form Use the Quadratic Formula Solve Equations: One Variable Reasoning with Equations and Inequalities Solve One-Step Equations Solve Multistep Equations Inequalities Graph Inequalities Solve Systems of Equations Write Equations: One Variable Creating Equations Write Equations: Two or More Variables Solve Word Problems with Solve Literal Equations 7

8 Building Functions Direct Variation Interpret Graphs of Real-World Situations Sketch Graphs of Real-World Situations Graphs of Real-World Functions Slope and Rate of Change Interpreting Functions Graph Linear Equations Equations in Slope Form Radical Functions and Their Graphs Rational Functions and Their Graphs Function Notation Seeing Structure in Expressions Arithmetic with Polynomials and Rational Expressions Linear, Quadratic, and Exponential Models 8 Simplify ic Expressions Evaluate Expressions with Real Numbers Factor Polynomials Add and Subtract Polynomials Multiply and Divide Monomials Multiply Polynomials Graphs of Quadratic Functions Problem Solving with Quadratic Functions Graphs of Exponential Functions

r the COR d e s 3 A lg e b r a New York Common Core Pathways

r the COR d e s 3 A lg e b r a New York Common Core Pathways BUI LT fo COM r the MON COR E Gra 2013 2014 d e s 3 A lg e b r a New York Common Core Pathways I Grade 3 Number and Operations - Fractions Measurement and Data Geometry Place Value with Whole Numbers Place